Pith Number

pith:I67PLIR3

pith:2010:I67PLIR3MI2PIPYFNCNBJ6Z7D5

not attested not anchored not stored refs pending

3x3 Minors of Catalecticants

Claudiu Raicu

arxiv:1011.1564 v3 · 2010-11-06 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I67PLIR3MI2PIPYFNCNBJ6Z7D5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:22:49.301440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47bef5a23b6234f43f05689a14fb3f1f54ed2781d3d4d0c6652a3e706d81e904

Aliases

arxiv: 1011.1564 · arxiv_version: 1011.1564v3 · doi: 10.48550/arxiv.1011.1564 · pith_short_12: I67PLIR3MI2P · pith_short_16: I67PLIR3MI2PIPYF · pith_short_8: I67PLIR3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/I67PLIR3MI2PIPYFNCNBJ6Z7D5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 47bef5a23b6234f43f05689a14fb3f1f54ed2781d3d4d0c6652a3e706d81e904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e028186dc7acc0b29822c8cedc18e818db23b714bd16ec90ab0b27aab3073a86",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-06T15:08:38Z",
    "title_canon_sha256": "80beb775848917b678654bfee27f09853302f572c25dcf4220572de71478b2fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1564",
    "kind": "arxiv",
    "version": 3
  }
}